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14132915316 = 2234135695897
BaseRepresentation
bin11010010100110001…
…10010110001110100
31100110221120111010000
431022120302301310
5212421011242231
610254221231300
71010140540512
oct151230626164
940427514100
1014132915316
115aa2731503
1228a5102530
1314430085b0
14980dd54b2
1557ab3a6e6
hex34a632c74

14132915316 has 120 divisors (see below), whose sum is σ = 39864935880. Its totient is φ = 4340210688.

The previous prime is 14132915297. The next prime is 14132915323. The reversal of 14132915316 is 61351923141.

14132915316 is a `hidden beast` number, since 1 + 4 + 1 + 32 + 91 + 531 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 952956900 + 13179958416 = 30870^2 + 114804^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2393680 + ... + 2399576.

It is an arithmetic number, because the mean of its divisors is an integer number (332207799).

Almost surely, 214132915316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14132915316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19932467940).

14132915316 is an abundant number, since it is smaller than the sum of its proper divisors (25732020564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14132915316 is a wasteful number, since it uses less digits than its factorization.

14132915316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6495 (or 6484 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The spelling of 14132915316 in words is "fourteen billion, one hundred thirty-two million, nine hundred fifteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 569 702 1053 1138 1404 1707 2106 2276 3414 4212 5121 5897 6828 7397 10242 11794 14794 15363 17691 20484 22191 23588 29588 30726 35382 44382 46089 53073 61452 66573 70764 76661 88764 92178 106146 133146 153322 159219 184356 199719 212292 229983 266292 306644 318438 399438 459966 477657 599157 636876 689949 798876 919932 955314 1198314 1379898 1910628 2069847 2396628 2759796 3355393 4139694 6209541 6710786 8279388 10066179 12419082 13421572 20132358 24838164 30198537 40264716 43620109 60397074 87240218 90595611 120794148 130860327 174480436 181191222 261720654 271786833 362382444 392580981 523441308 543573666 785161962 1087147332 1177742943 1570323924 2355485886 3533228829 4710971772 7066457658 14132915316